基于格子Boltzmann大密度比模型的多孔介质内气泡动力学行为数值模拟

doi:10.19596/j.cnki.1001-246x.8264

摘要/Abstract

摘要：

基于格子Boltzmann两相流大密度模型，研究气泡穿过多孔介质的动力学行为。研究发现：当孔隙率较大时，气泡只变形不破裂，能完整地通过多孔介质；而孔隙率较小时，气泡变形更加剧烈且发生破裂，穿过多孔介质所需的时间更长。另外，当障碍物表面接触角（θ）较小时，气泡均能完整地通过多孔介质，随着接触角的增大，气泡开始发生破裂，且θ越大，气泡破裂越严重，通过多孔介质的气泡剩余质量越小。数值结果还表明随着Eotvos数（Eo）增大，表面张力所占比重减小，气泡破裂越严重，穿过多孔介质的气泡剩余质量越小。最后，对比发现，多孔介质润湿性对气泡剩余质量影响最大，其次是孔隙率，而Eo数的影响最小。

关键词: 格子Boltzmann方法, 大密度比, 气泡动力学行为, 多孔介质

Abstract:

With a lattice Boltzmann two-phase flow model with large density ratio, we study dynamic behavior of a bubble as it passes through a porous media. It was found that as the porosity is large, the bubble deforms without breaking, and it passes completely through the porous medium; As the porosity is small, the bubble deforms violently and ruptures, and it takes more time to pass through the porous medium. In addition, as the contact angle of the porous medium is small, the bubble passes completely through the porous medium; As the contact angle increases, the bubble begins to rupture; The larger the contact angle is, the more seriously the bubble ruptures. The residual mass of the bubble decreases with the increasing of the contact angle. Moreover, it shows that as Eotvos number (Eo) increases, the proportion of surface tension decreases; The bubble ruptures more seriously; And the residual mass of the bubble passing through the porous media is smaller. It is found that the influence of wettability on residual mass of the bubble is the most obvious, and the influence of Eo is the minimum.

Key words: lattice Boltzmann method, large density ratio, bubble dynamics, porous media

中图分类号:

O359⁺.1

娄钦, 汤升, 王浩原. 基于格子Boltzmann大密度比模型的多孔介质内气泡动力学行为数值模拟[J]. 计算物理, 2021, 38(3): 289-300.

Qin LOU, Sheng TANG, Haoyuan WANG. Numerical Simulation of Bubble Dynamics in Porous Media with a Lattice Boltzmann Large Density Ratio Model[J]. Chinese Journal of Computational Physics, 2021, 38(3): 289-300.

图/表 10

图1 多孔介质模型

Fig.1 Porous medium model

图2 压力差Δp与半径倒数1/r的关系

Fig.2 Relation between pressure difference Δp and 1/r

表1 理论接触角与测量接触角

Table 1 Theoretical contact angle and measured contact angle

理论值θ₀/°	30	60	90	120	150
测量值θ/°	31.98	60.16	89.64	120.32	151.43

图3 均匀多孔介质气泡运动瞬时图

Fig.3 Instantaneous figures of bubble motion in homogeneous porous media

图4 随机多孔介质气泡运动瞬时图

Fig.4 Instantaneous figures of bubble motion in random porous media

图5 不同孔隙率下气泡剩余质量

Fig.5 Residual mass of bubble at different porosity

图6 气泡运动瞬时图

Fig.6 Instantaneous figures of bubble motion

图7 不同接触角下气泡剩余质量

Fig.7 Residual mass of bubble at different contact angles

图8 气泡运动瞬时图

Fig.8 Instantaneous figures of bubble motion

图9 不同Eo数下气泡剩余质量

Fig.9 Residual mass of bubble at different Eo numbers

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